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Are my dimensional analysis question correct

  1. Jul 30, 2009 #1
    are these dimensional analysis questions correct

    A = area
    V = volume
    v = speed
    p = density

    1. VA / v = L3 L2 L-1 T-1 = L4T-1

    2. V2/3 A = (LT-1)2/3 L2 = L2/3 T-2/3 x L2 = L10/3T-2/3

    3. 3A3 + 2V2 = A3 = L6
    V2 = (L/T)2 = L2T-2 = L4T-2

    are these correct
     
  2. jcsd
  3. Jul 30, 2009 #2

    cepheid

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    For the first one, you made a mistake on the exponent on T. 1/[velocity] has dimensions of [time]/[length].

    For the second one, you made a mistake on the L exponent. (2 + 6 is not equal to 10).

    For the third one, the original equation doesn't make sense.
     
  4. Jul 31, 2009 #3
    for;
    v2/3A

    i got an answer of = L4/3T-2/3

    is this correct
     
  5. Jul 31, 2009 #4

    cepheid

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    No. Do you understand the laws of exponents? When you multiply two powers, you ADD their exponents. For example:

    axay = ax+y
     
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